Question 1025511
Let {{{ x }}} = bags of 3% cement needed
{{{ .182*10 = 1.82 }}} bags of pure cement in 18.2% mix
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{{{ ( .03x + 1.82 ) / ( x + 10 ) = .11 }}}
{{{ .03x + 1.82 = .11*( x + 10 ) }}}
{{{ .03x + 1.82 = .11x + 1.1 }}}
{{{ .08x = .72 }}}
{{{ x = 9 }}}
9 bags of 3% cement are needed
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check:
{{{ ( .03x + 1.82 ) / ( x + 10 ) = .11 }}}
{{{ ( .03*9 + 1.82 ) / ( 9 + 10 ) = .11 }}}
{{{ ( .27 + 1.82 ) / 19 = .11 }}}
{{{ .27 + 1.82 = 2.09 }}}
{{{ 2.09 = 2.09 }}}
OK